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Rms Value of Ac

The effective or RMS value of AC is approximately 70.7% of its peak value for sinusoidal waveforms, calculated using the formula RMS = Peak / √2. This RMS value represents the equivalent DC value that produces the same heating effect in a resistor and is essential for power calculations and safety ratings in AC circuits. The peak value is important for insulation and component voltage withstand requirements.

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31 views2 pages

Rms Value of Ac

The effective or RMS value of AC is approximately 70.7% of its peak value for sinusoidal waveforms, calculated using the formula RMS = Peak / √2. This RMS value represents the equivalent DC value that produces the same heating effect in a resistor and is essential for power calculations and safety ratings in AC circuits. The peak value is important for insulation and component voltage withstand requirements.

Uploaded by

jeestatecentre2025
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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How does the peak value relate to the effective or

RMS value of AC
The effective or RMS value of AC is related to the peak value by the following formula for a
sinusoidal waveform: the RMS value is equal to the peak value divided by , that is,

where is the peak (maximum) value and is the effective Root Mean Square value. [1] [2]
[3]

This means the RMS value of AC current or voltage is about 70.7% of its peak value. [4] [3]
The RMS value is considered the effective value because it represents the equivalent DC
value that would produce the same heating effect or power dissipation in a resistor. [2] [5] [4]
For a sinusoidal AC wave:
If the peak value is 20 V, the RMS value will be V. [4]
This relationship is valid for purely sinusoidal AC signals; other waveforms have different
factors.
Summary table:

Peak Value ( ) RMS Value ( )

Maximum amplitude

The RMS value is used for effective power calculations and safety ratings in AC circuits. The
peak value is relevant for insulation and component voltage withstand requirements. [5] [4]
⁂

1. https://testbook.com/question-answer/the-relationship-between-peak-value-of-current-i0--602b55e7b
3f051f5b18d48c5
2. https://www.vedantu.com/question-answer/derive-the-relationship-between-the-peak-and-the-class-1
2-physics-cbse-5ffe66edb6b9247ee601404f
3. https://www.doubtnut.com/qna/644989333
4. https://www.theelectricalguy.in/tutorials/what-is-rms-value-easiest-explanation/
5. https://krohn-hite.com/html/difference-between-rms-value-and-peak-value.html

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